Mathematical Models for Therapeutic Approaches to Control Psoriasis
Produktform: E-Buch Text Elektronisches Buch in proprietärem
This book discusses several mathematical models emphasizing the disease dynamics of psoriasis and its control. The approach of the control technique to the growth of keratinocyte concentration is explained through a negative feedback mechanism. The effect of inclusion of a realistic time delay in that system of psoriasis is also highlighted in the proper scope of the book. The effect of cytokines release introduced in a mathematical model of psoriasis and further elucidated in two different mathematical pathways—one is through the ordinary differential equations model system and another is through the fractional-order differential equations model system. In this book, the interaction between dendritic cells and CD8+ T-cells is considered to observe the role of CD8+ T-cells upon psoriasis. The book also consists of optimal control approach on the fractional-order system for controlling the excess production of keratinocyte cell population in a more significant way. It is targeted to researchers and scientists in the field of applied mathematics, health informatics, applied statistics and qualitative public health, as well as bio-mathematicians who wish to study and work in the field of mathematical modelling on autoimmune diseases like psoriasis.
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